Question

Find the length and width of a rectangle with maximum area that has a perimeter of 9P units.

Answer 1

Answer:

l = 9p/4 , l = 9p/4

Step-by-step explanation:

Given:

Perimeter = 9p

Find:

Length and width

Computation:

Assume;

Length = l

Perimeter = 2(l+b)

9p/2 = l+w

w = 9p/2 - l

Area = lb

Area = l(9p/2 - l)

Using differentiation

l = 9p/4

w = 9p/2 - l

w = 9p/2 - 9p/4

w = 9p/4